11101111100111 has 8 divisors (see below), whose sum is σ = 11685413786880. Its totient is φ = 10516811781528.

The previous prime is 11101111100087. The next prime is 11101111100143. The reversal of 11101111100111 is 11100111110111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11101111100111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11101111100092 and 11101111100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101111100011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8690090 + ... + 9885336.

It is an arithmetic number, because the mean of its divisors is an integer number (1460676723360).

Almost surely, 2^{11101111100111} is an apocalyptic number.

11101111100111 is a deficient number, since it is larger than the sum of its proper divisors (584302686769).

11101111100111 is a wasteful number, since it uses less digits than its factorization.

11101111100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684093.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 11101111100111 its reverse (11100111110111), we get a palindrome (22201222210222).

The spelling of 11101111100111 in words is "eleven trillion, one hundred one billion, one hundred eleven million, one hundred thousand, one hundred eleven".